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2 years ago

Re-write the expression as a product with the greatest common factor. (54 +99)

1 answer:

algol132 years ago

5 0

Find the prime factorization of 54
54 = 2 × 3 × 3 × 3
Find the prime factorization of 99
99 = 3 × 3 × 11
To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 3
GCF = 9

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Point T has coordinates (-7, -3). If it's reflected across the line x = 2, what will be the coordinates of its image? A (7, -3)

anastassius [24]

B is the answer
just like the picture
( T' is not exact. it just shows the reflection)

8 0

2 years ago

. If α and β are the roots of

Lostsunrise [7]

Answer:

$18x^2+85x+18 = 0$

Step-by-step explanation:

Given Equation is

=> $2x^2+7x-9=0$

Comparing it with $ax^2+bx+c = 0$ , we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = $-\frac{b}{a}$

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

Now, Finding the equation whose roots are:

α/β ,β/α

Sum of Roots = $\frac{\alpha }{\beta } + \frac{\beta }{\alpha }$

Sum of Roots = $\frac{\alpha^2+\beta^2 }{\alpha \beta }$

Sum of Roots = $\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }$

Sum of roots = $(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}$

Sum of roots = $\frac{49}{4} + 9 /\frac{-9}{2}$

Sum of Roots = $\frac{49+36}{4} / \frac{-9}{2}$

Sum of roots = $\frac{85}{4} * \frac{2}{-9}$

Sum of roots = S = $-\frac{85}{18}$

Product of Roots = $\frac{\alpha }{\beta } \frac{\beta }{\alpha }$

Product of Roots = P = 1

The Quadratic Equation is:

=> $x^2-Sx+P = 0$

=> $x^2 - (-\frac{85}{18} )x+1 = 0$

=> $x^2 + \frac{85}{18}x + 1 = 0$

=> $18x^2+85x+18 = 0$

This is the required quadratic equation.

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2 years ago

Read 2 more answers

Solve for x. 4 15 6 X x = [?] Enter the number in decimal form

posledela

Answer:

Step-by-step explanation:

x / 6 + 4 = 15

To find x ;

Subtrac4 from both sides

x / 6 + 4 - 4 = 15 - 4

x / 6 = 11

Multiply both sides by 6

x / 6 * 6 = 11 * 6

x = 66

Value of x = 66

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2 years ago

Which function has zeros at x = −2 and x = 5?

Sav [38]

Answer:

D:f(x) = x2 - 3x -10

Step-by-step explanation:

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2 years ago

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If two 6-sided dice are rolled what is the probability that both numbers will be even?

Tamiku [17]

The probability of one dice rolling an even number is 1/2 as half the numbers are even. Since the events are independent, and there are 2 dice, we need to square 1/2 to get 1/4, assuming they are both fair dice

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1 year ago